Algebra-2

A local maximum occurs when the graph changes from increasing to decreasing.

Let's analyze each of the points based on the behavior of the graph:

1. For the point (-5, 2), the graph is increasing before reaching this point and then starts to decrease after reaching it. So, (-5, 2) is a local maximum.

2. For the point (-3.8, -2.1), the graph is decreasing before reaching this point and then starts to increase after reaching it. So, (-3.8, -2.1) is a local minimum, not a local maximum.

3. For the point (-2, 4), the g...